Draw a pair of tangents to a circle of radius 4.5 cm, which are inclined to each other at an angle of 45°.

Question

Philoid · Accepted Answer

Step 1: We construct a circle with radius 4.5 cm, centred at O.

Step 2: We construct an angle of 135° at centre O, such that ∠AOC = 135°, where C is another point on the circle.

Step 3: We construct perpendiculars to OC and OA at points C and A respectively.

Step 4: We extend the perpendiculars to meet at point D, and we get tangents AD and CD to the circle, enclosing 45° between them.